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Find the order and degree of the differe...

Find the order and degree of the differential equation `((d^(2)y)/(dx^(2)))^(3)+((dy)/(dx))^(5)=0`

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Write the order and degree of the differential equation xy((d^(2)y)/(dx^(2)))^(2)+x((dy)/(dx))^(3)-y(dy)/(dx)=0 .

Knowledge Check

  • The degree of the differential equation ((d^(2)y)/(dx^(2)))^(3)+((dy)/(dx))^(2)+1=0 is

    A
    `3`
    B
    `2`
    C
    `1`
    D
    not defined

  • The order of the differential equation ((d^(2)y)/(dx^(2)))^(3)=(1+(dy)/(dx))^(1/2) is

    A
    `(1)/(2)`
    B
    `2`
    C
    `3`
    D
    `4`

  • The order and degree of the differential equation (d^(2)y)/(dx^(2))=(1+((dy)/(dx))^(2))^(3/2) are

    A
    `2,2`
    B
    `2,1`
    C
    `1,2`
    D
    `2,3`

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    Find the order and degree of the differential equation (d^(2)y)/(dx^2)-y+((dy)/(dx)+(d^(3)y)/(dx^(3)))^(3/2)=0

    The order and degree of the differential equation [((d^(2)y)/(dx^(2)))+((dy)/(dx))^(2)]^((1)/(2))=(d^(3)y)/(dx^(3)) are

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    The degree of the differential equation (d^(2)y)/(dx^(2))+3((dy)/(dx))^(2)=x^(2) is

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